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Please help me with these I don't understand. I will mark you as brainless if you do. pls and ty

Please help me with these I don't understand. I will mark you as brainless if you-example-1

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The perimeter of the rectangle = 2(length + width)

From the given figure

The length of the rectangle = 3x

The width of the rectangle = x

The perimeter = 2(3x + x)

Since the perimeter of the rectangle P = 1000

We will equate the expression of the perimeter above by 1000

2(3x + x) = 1000

Let us simplify the left side

2(3x) + 2(x) = 1000

6x + 2x = 1000

Add the like terms

8x = 1000

Divide both sides by 8

x = 125

To find the length

Substitute x by 125

The length = 3(125) = 375

Equation is 2(3x + x) = 1000

Length = 375

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